$3500 unfortunately you only have $500 saved ,if it is possible for you to save $100 a month,your friend will reduce the price of the car $50 a month

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

B

Step-by-step explanation:

After 48 months, the investment will be worth approximately $3,399.86.

To calculate the future value of an investment with annual compound interest, we can use the formula

FV = PV × (1 + r)^n

where

FV = future value

PV = present value (initial investment)

r = annual interest rate

n = number of compounding periods

In this case, we have

PV = $3000

r = 3.1% = 0.031

n = 48/12 = 4 (since there are 12 months in a year and we're interested in the value after 48 months)

So, plugging these values into the formula, we get

FV = $3000 × (1 + 0.031)^4

FV = $3000 × 1.133287

FV = $3,399.86

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Answer:6.16 pounds

Step-by-step explanation:

14x0.44

Answer:

6.16 pounds

Step-by-step explanation:

She purchased 14 oranges. Each one of those oranges weighed 0.44 pounds. In this instance, you would use multiplication.  

14 x 0.44 which then equals 6.16 (pounds).

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Answer:

\(3h=54\)

Step-by-step explanation:

To get the product between 3 and Han's score (h), we multiply them:

\(3~x~h~--> 3h\)

And since we know that this product is equal to 54, we'll have that the equation that corresponds to the situation is:

\(3h=54\)

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Answer:

8:125

Step-by-step explanation:

24/375

simplify by dividng each by 3

= 8:125

Answer:

2.85

Step-by-step explanation:

It would be 2.85 because half of 3.00 is 1.50 and half of 2.70 is 1.35 add 1.35 and 1.50 together that makes 2.85

Hope that helps :))

Brandon needs a total of 276 roses in all.

To find out how many roses Brandon needs in total, we can calculate the number of roses in the large arrangements and the small arrangements separately, and then add them together.

Number of large arrangements = 3

Number of roses in each large arrangement = 28

Total number of roses in large arrangements = Number of large arrangements * Number of roses in each large arrangement

Total number of roses in large arrangements = 3 * 28 = 84 roses

Number of small arrangements = 12

Number of roses in each small arrangement = 16

Total number of roses in small arrangements = Number of small arrangements * Number of roses in each small arrangement

Total number of roses in small arrangements = 12 * 16 = 192 roses

To find the total number of roses, we add the number of roses in the large arrangements and the small arrangements:

Total number of roses = Total number of roses in large arrangements + Total number of roses in small arrangements

Total number of roses = 84 + 192 = 276 roses

Therefore, Brandon needs a total of 276 roses in all.

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4.571 billion years is equals to  1.4415 × 10⁷ seconds.

To calculate the number of seconds in 4.571 billion years, we first need to determine how many seconds there are in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Multiplying these together gives us 31,536,000 seconds in a year.

Next, we multiply the number of seconds in a year by the number of years in 4.571 billion years. This gives us:

31,536,000 seconds/year x 4,571,000,000 years = 1.4415 × 10¹⁷ seconds

Therefore, there are approximately  1.4415 × 10¹⁷ seconds  in 4.571 billion years.

It's worth noting that this calculation assumes a standard year of 365 days. In reality, a year is slightly longer than 365 days, and so the actual number of seconds in 4.571 billion years would be slightly higher. Nonetheless, this calculation provides a good approximation.

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Answer:

180° (clockwise)

Step-by-step explanation:

A clock is a circle with 12 equally spaced numbers. There are 360° in a circle, therefore the hour hand moves 360 ÷ 12 = 30° every hour.

The number of hours between 9pm and 3am = 6

Therefore, 6 x 30° = 180°

Answer:

Step-by-step explanation:

m,sdkfhdlfksjdhfksjhfkshfsfs

here

B

Answer: Research

Step-by-step explanation:

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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Answer:

-3 ( D )

Step-by-step explanation:

Logarithm base 3 of 1/27 is -3.

α = 90°, β = 90°, and γ = 90°. The angles α, β, and γ in the provided cubic unit cell are all 90 degrees.

In the given cubic unit cell, the angles α, β, and γ are all 90 degrees. This is because a cubic unit cell has equal side lengths and all its faces are perpendicular to each other. Therefore, the angles between the crystallographic axes in a cubic unit cell are always 90 degrees. The notation [ool] [ool][10][11]/(111) indicates the orientation of the crystal lattice and the arrangement of atoms within the unit cell.

This information does not affect the values of α, β, and γ, which remain constant for a cubic unit cell. Regardless of the specific arrangement of atoms or the direction of crystallographic axes, the angles within a cubic unit cell are always 90 degrees. This is a fundamental characteristic of cubic symmetry in crystallography.

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The probability that sample is greater than 418 will be is 6.533.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Here we have

\(\mu=397.64,n=40,\sigma=20\)

According to central limit theorem, the sampling distribution of mean will be normal with mean

\(\mu_{\bar{x}}=\mu=397.64\)

and standard deviation

\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)

The z-score for\(\bar{x}=418\) is

\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)

Therefore, the probability that sample is greater than 418 will be

\(P(\bar{x} > 418)=P(z > 6.533)\)

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Incomplete Question

Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)

c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?

t3(x)  = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

To find t3(x) we need to find the coefficient of polynomials by using the formula for nth degree taylor polynomial.

what is taylor polynomials?

This are approximations of a function, which become generally better as n increases. It is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

using the nth degree taylor polynomial formula:

tn(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...... + f^(n)(a)(x-a)^n/n!

where f^(n)(a) is the nth derivative of f evaluated at x=a.

By calculating we get t3(x) as

t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!

       = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

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Answer:

madarchod

Step-by-step explanation:

randi bhosdike

Last option: The height and weight distributions, respectively, show positive and negative skews.

We know that,

Graphs are used to represent information in bar charts. To depict values, it makes use of bars that reach various heights. Vertical bars, horizontal bars, clustered bars (multiple bars that compare values within a category), and stacked bars are all possible options for bar charts.

we have,

There isn't a lot of data, but it shows that the weights have a negative skew and the heights have a positive skew, with the long tails pointing in opposite directions.

change/ starting point * 100

2.5 millions of books were sold in 1991.

Millions of books sold in 1992 equaled 3.4.

Change = 0.9 (in millions).

0.9/2.5 * 100

= 36%

The height and weight distributions, respectively, show positive and negative skews.

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A boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return, so the river is flowing at the speed of 0.95km/hrs.

Let x represent the boat's speed on still water.

Let y equal the current's speed.

The time is 3.40 hours, and the rate is x + y with the current.

The time is 4.60 hours, and the rate against the current is x - y.

rate x time = downstream

distance (x + y) * 3.40 = 25

Thus, upstream, 3.4x + 3.4y = 25. (x - y) * 4.60 = 25 so 4.6x - 4.6y = 25

Add 4.6 to both sides of the "downstream" equation and 3.4 to both sides of the "upstream" equation:

15.64x + 15.64y = 115

15.64x - 15.64y = 85

When the two equations are combined: 31.28x = 200, so x = 6.4

In other words, 15.64(6.4) + 15.64(y) = 115 and 100 + 15.64y = 115 are equivalent to 15.64x + 15.64y = 115.

120 is subtracted from both sides: 15.64y = 15, so y = 0.95

The speed of the boat in still water is 6.4 km per hour

The speed of the current is 0.95 km per hour.

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Answer

=2406.16533

Step-by-step explanation:

The type of angle pair that describes ∠5 and ∠2 is B Same-side interior angles.

It should be noted that same-side interior angles simply means when two lines that are parallel are interested by a transversal line.

It should be noted that the same-side interior angles are supplementary. This implies that they will be equal to 180°.

In this case, the type of angle pair that describes ∠5 and ∠2 is Same-side interior angles.

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Answer:

20% candy contains caramel.

Step-by-step explanation:

A bag of mixed candy has chocolate bars = 25%

and other filler candy = 75%

Let the 'c' represents the percentage of candy containing caramel in the bag of mixed candy.

Of the chocolate bars, percentage of candy containing caramel = 50% of 25%

Of the other filler candy, percentage of caramel candy = 10% of 75%

1c = 0.50(0.25) + 0.10(0.75)

   = 0.125 + 0.075

   = 0.2

By converting into percentage = 0.2 × 100 = 20%

20% candy contains caramel.

To find the length of QR in triangle PQR, we can use the trigonometric ratio known as the sine function.

In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Given that angle P = 26° and the length of PQ = 8.5 feet, we can use the sine function to find the length of QR.

sin(P) = Opposite / Hypotenuse

sin(26°) = QR / 8.5

To solve for QR, we can rearrange the equation:

QR = sin(26°) * 8.5

Using a calculator, we find:

QR ≈ 3.6761 * 8.5

QR ≈ 31.2449

Rounding to the nearest tenth, the length of QR is approximately 31.2 feet.

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Answer:

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 26, \sigma = 3\)

Approximately what percentage of her shots will travel less than 23 feet?

This is the pvalue of Z when X = 23. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{23 - 26}{3}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587.

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Answer:

4

Step-by-step explanation:

I looked it up

Check the picture below.

let's notice, ∡LMN is a central angle, thus the arcLN is the same 42°, whilst the inscribed ∡LPN is half that.

The limit you're seeking can be expressed as the definite integral ∫[1, 6] 4x^3 dx. The limit as a definite integral on the given interval: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx, [1, 6].

To do this, follow these steps:

1. First, recognize that this is a Riemann sum, where xi* is a point in the interval [1, 6] and δx is the width of each subinterval.
2. Convert the Riemann sum to an integral by taking the limit as n approaches infinity: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx = ∫[1, 6] f(x) dx.
3. The function f(x) in this case is given by the expression inside the sum, which is (x)(x^2) * 4.
4. Simplify the function: f(x) = 4x^3.
5. Now, substitute the function into the integral: ∫[1, 6] 4x^3 dx.
6. Finally, evaluate the definite integral: ∫[1, 6] 4x^3 dx.

So, the limit can be expressed as the definite integral ∫[1, 6] 4x^3 dx.

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The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

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Answer:

8x-4

Step-by-step explanation:

(3x-5)+(5x+1)

=3x-5+5x+1

=8x-4